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Finding the Fourth Proportional to 153.10, 210.90 and 114.22

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Solution

The fourth proportional to 153.10, 210.90 and 114.22 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 210.90 = 114.22 : x
  2. Step 2: Convert to fraction form
    153.10/210.90 = 114.22/x
  3. Step 3: Cross multiply
    153.10x = 210.90 × 114.22
  4. Step 4: Simplify right side
    153.10x = 24,089.00
  5. Step 5: Solve for x
    x = 24,089.00/153.10
  6. Step 6: Final answer
    x = 157.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.